Gluon Saturation and S-Matrix Unitarity
A. I. Shoshi, F. D. Steffen, H. J. Pirner
Abstract
The impact parameter dependent gluon distribution of the proton xG(x,Q2,b) is investigated in a loop-loop correlation model that respects the S-matrix unitarity condition in impact parameter space. We find low-x saturation of G(x,Q2,b) as a manifestation of S-matrix unitarity. The integrated gluon distribution xG(x,Q2) does not saturate because of the growth of the effective proton radius with decreasing x.
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